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# Question 9 A survey of 397 children given at a local elementary...

Question 9 A survey of 397 children given at a local elementary school showed that 175 like chocolate ice cream 225 like pistachio ice cream, and 97 do not like chocolate or pistachio ice cream. How many children like at least one kind of ice cream mentioned in the survey?

a)200

b)300

c)75

d)400

e)125

f)None of the above.

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Question 10 A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 167 like Snickers, 192 like Twix, 204 like Reese's Peanut Butter Cups, 94 like Snickers and Twix, 92 like Twix and Reese's Peanut Butter Cups, 104 like Snickers and Reese's Peanut Butter Cups, and 60 like all three kinds of chocolate candy. How many students like Snickers, but not Twix or Reese's Peanut Butter Cups?

a)78

b)29

c)138

d)107

e)167

f)None of the above.

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Question 11 A license plate consists of 2 letters followed by 3 digits. How many license plates are possible if the 1st letter can't be O, and letters and digits may repeat.

a)473,850

b)455,625

c)650,000

d)625,000

e)676,000

f)None of the above.

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Question 12 The company, HEWERRTT, would like to make letter codes using all of the letters in the word HEWERRTT. How many codes can be made from all the letters in this word?

a)40,320

b)330

c)5,040

d)1,331,000

e)110

f)None of the above.

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Question 13 After a bride has interviewed 6 DJs to play at her wedding, her fiance tells her she needs to narrow it down to 2 DJs. In how many ways can she rank the 2 DJs?

a)15

b)30

c)720

d)12

e)2

f)None of the above.

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Question 14 A coin is tossed 17 times. In how many outcomes do exactly 8 heads occur?

a)980,179,200

b)24,310

c)136

d)40,320

e)8

f)None of the above.

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Question 15 In how many ways can a Math team of 6 students be chosen from a Math Club which consists of 6 seniors and 14 juniors if the team must consist of 2 seniors and 4 juniors?

a)24,024

b)225

c)1,002,001

d)84

e)15,015

f)None of the above.

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Question 16 A basket contains 11 apples, of which two are rotten. A sample of three apples is selected at random. In how many ways can two rotten apples be chosen?

a)81

b)120

c)9

d)7

e)84

f)None of the above.

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Question 17 A business organization needs to make up a 5 member fund-raising committee. The organization has 10 accounting majors and 7 finance majors. In how many ways can the fund-raising committee be formed if at most 1 accounting major is on the committee?

a)21

b)371

c)31

d)350

e)10

f)None of the above.

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Question 18 Given P(A) = .38, P(B) = .37 and P(ABc) = .21. Find P(AB).

a)0.38

b)0.17

c)0.16

d)0.11

e)0.96

f)None of the above.

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Question 19 Suppose P(E) = 0.54, P(Fc) = 0.55, and P(FEc) = 0.28. Find P(EF).

a)

b)

c)

d)

e)

f)None of the above.

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Question 20 A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 198 like rock, 152 like country, and 113 like jazz. Moreover, 21 like rock and country, 22 like rock and jazz, 16 like country and jazz, and 5 like all three types of music. What is the probability that a radomly selected student likes jazz or country but not rock? Note: A Venn diagram may be useful here.

a)0.400

b)0.250

c)0.422

d)0.504

e)0.282

f)None of the above.

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Question 21 A hand of 12 cards is dealt from a well-shuffled standard 52-card deck of cards. What is the probability that the hand contains 4 Jacks?

a)0.041828

b)0.001828

c)0.031828

d)0.011828

e)0.051828

f)None of the above.

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Question 22 A classroom of children has 16 boys and 20 girls in which five students are chosen to do presentations. What is the probability that at least four boys are chosen?

a)0.011586

b)0.378788

c)0.096554

d)0.282234

e)0.108140

f)None of the above.

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Question 23 A fair coin is tossed 22 times. What is the probability that at most 19 tails occur?

a)0.00036716

b)0.99993944

c)0.99957228

d)0.00006056

e)0.01042772

f)None of the above.

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Question 24 An urn contains 11 white balls and 9 green balls. A sample of seven is selected at random. What is the probability that the sample contains at least one green ball?

a)0.946362

b)0.995743

c)0.999884

d)0.053638

e)0.000116

f)None of the above.

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Question 25 A classroom of children has 13 boys and 17 girls in which five students are chosen to do presentations. What is the probability that more boys than girls are chosen?

a)0.0853

b)0.2820

c)0.0090

d)0.3582

e)0.3673

f)None of the above.